140109535641600 has 3888 divisors, whose sum is σ = 639777817224000. Its totient is φ = 30339508469760.

The previous prime is 140109535641547. The next prime is 140109535641641. The reversal of 140109535641600 is 6146535901041.

140109535641600 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 0 + 9 + 5 + 35 + 6 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7374186086391 + ... + 7374186086409.

Almost surely, 2^{140109535641600} is an apocalyptic number.

140109535641600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140109535641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319888908612000).

140109535641600 is an abundant number, since it is smaller than the sum of its proper divisors (499668281582400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140109535641600 is an frugal number, since it uses more digits than its factorization.

140109535641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 140109535641600 in words is "one hundred forty trillion, one hundred nine billion, five hundred thirty-five million, six hundred forty-one thousand, six hundred".